Highest Common Factor of 4847, 2132, 64449 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 4847, 2132, 64449 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4847, 2132, 64449 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 4847, 2132, 64449 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 4847, 2132, 64449 is 1.

HCF(4847, 2132, 64449) = 1

HCF of 4847, 2132, 64449 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 4847, 2132, 64449 is 1.

Highest Common Factor of 4847,2132,64449 using Euclid's algorithm

Highest Common Factor of 4847,2132,64449 is 1

Step 1: Since 4847 > 2132, we apply the division lemma to 4847 and 2132, to get

4847 = 2132 x 2 + 583

Step 2: Since the reminder 2132 ≠ 0, we apply division lemma to 583 and 2132, to get

2132 = 583 x 3 + 383

Step 3: We consider the new divisor 583 and the new remainder 383, and apply the division lemma to get

583 = 383 x 1 + 200

We consider the new divisor 383 and the new remainder 200,and apply the division lemma to get

383 = 200 x 1 + 183

We consider the new divisor 200 and the new remainder 183,and apply the division lemma to get

200 = 183 x 1 + 17

We consider the new divisor 183 and the new remainder 17,and apply the division lemma to get

183 = 17 x 10 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4847 and 2132 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(183,17) = HCF(200,183) = HCF(383,200) = HCF(583,383) = HCF(2132,583) = HCF(4847,2132) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 64449 > 1, we apply the division lemma to 64449 and 1, to get

64449 = 1 x 64449 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 64449 is 1

Notice that 1 = HCF(64449,1) .

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Frequently Asked Questions on HCF of 4847, 2132, 64449 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 4847, 2132, 64449?

Answer: HCF of 4847, 2132, 64449 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4847, 2132, 64449 using Euclid's Algorithm?

Answer: For arbitrary numbers 4847, 2132, 64449 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.